Table 2 Comparison between the 10th-order approximate solution of Eq. (25) and the exact solution for \(\alpha =1\)
From: A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
x | t | \(u_{exa}\) | \(u_{NSTIM}\) | \(|u_{exa}-u_{10app}|\) |
|---|---|---|---|---|
\(\alpha =1\) | ||||
0.3 | 0.4 | 1.632316221 | 1.632316221 | \(0.0\times 10^{-9}\) |
0.5 | 0.6 | 2.339646852 | 2.339646853 | \(1.0\times 10^{-9}\) |
0.6 | 0.7 | 2.886370989 | 2.886370989 | \(0.0\times 10^{-9}\) |
0.7 | 0.8 | 3.632786555 | 3.632786553 | \(2.0\times 10^{-9}\) |